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On the equivalence of optimality design criteria for the placebo-treatment problem

We consider a class of optimality criteria and show that each criterion has its unique and equivalent dual within the class. This property can be used to find a variety of optimal designs, including a class of compound optimal designs and their relationships. As an example, we show that one type of D-optimal design provides analytical formula for a class of compound optimal designs, while its dual, the more traditional criterion, cannot.
Year of publication:
2005
Authors: Dette, Holger ; Wong, Weng Kee ; Zhu, Wei
Published in:
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 74.2005, 4, p. 337-346
Publisher: Elsevier
Keywords: Compound optimality D-optimality Design efficiency Minimax optimality
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Type of publication: Article
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Persistent link: https://www.econbiz.de/10005223022
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